Re: Area of triangle using vectors

you are right, the set of questions ask for volume or area, this question states triangle so I take that as an area problem not volume.

so if I have a 2x2 matrix ( two vectors in an x,y plane) the the absolute value of the determinant is the area of the parallelogram and half that would be the area of a triangle formed by cutting the parallelogram in half

but in this instance I define two vectors in 3-space. so take the cross product and times it by 1/2 and thats the area. correct?